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LenaWriter [7]
2 years ago
10

A group of students want to determine if a person's height is linearly related to the distance they are able to jump.

Mathematics
1 answer:
Levart [38]2 years ago
4 0

The correlation coefficient between the student's height and the distance they were able to jump is 0.86.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient is a number that ranges from -1 to 1. It shows the strength of the relationship between two variables. It also shows the direction of the relationship.

Positive correlation is when the two variables move in the same direction. If one variable increases, the other variable also increases. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases. Zero correlation is when there is no relationship between the variables.

The correlation coefficient is calculated using a financial calculator.

Here is the complete question:

A group of students want to determine if a person's height is linearly related to the distance they are able to jump.

To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.

Each student was given three tries at the jump and their longest jump distance was recorded. The data the students collected is shown below.

Enter the correlation coefficient. Round your answer to the nearest hundredth.

To learn more about correlation, please check: brainly.com/question/27246345

#SPJ1

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Determine if each rectangle is a scale drawing of the given rectangle. Explain why or why not.
iogann1982 [59]

Answer:

a is not to scale but b is

Step-by-step explanation:

5:20

is the same as 5/20

and 5/20 is equal to 10/40

3 0
3 years ago
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. wha
Charra [1.4K]
To determine the probability that exactly two of the five marbles are blue, we will use the rule of multiplication. 

Let event A = the event that the first marble drawn is blue; and let B = the event that the second marble drawn is blue. 
To start, it is given that there are 50 marbles, 20 of them are blue.  Therefore, P(A) = 20/50
After the first selection, there are 49 marbles left, 19 of them are blue. Therefore, P(A|B) = 19/49
Based on the rule of multiplication:P(A ∩ B) = P(A)*P(A|B)P(A ∩ B) =  (20/50) (19/49)P(A ∩ B) = 380/2450P(A ∩ B) = 38/245 or 15.51%

The probability that there will be two blue marbles among the five drawn marbles is 38/245 or 15.51%

We got the 15.51% by dividing 38 by 245. The quotient will be 0.1551. We then multiplied it by 100% resulting to 15.51%
7 0
3 years ago
1/5n+3/5n=7/9<br><br> Can you help?
ArbitrLikvidat [17]

The value of n in 1/5n+3/5n=7/9 is 35/36

<h3>How to solve the equation?</h3>

The equation is given as:

1/5n+3/5n=7/9

Multiply through by 5

n + 3n = 35/9

Evaluate the sum

4n = 35/9

Divide both sides by 4

n = 35/36

Hence, the value of n in 1/5n+3/5n=7/9 is 35/36

Read more about equations at:

brainly.com/question/723406

#SPJ1

4 0
2 years ago
Given the following rectangle and circle, at what approximate value of x are the two areas equal? x ≈ 5.8 x ≈ 3.4 The curves do
SIZIF [17.4K]

The approximate value of x will be approximately equal to 3.4

<h3>Area of triangle and circle</h3>

The formula for calculating area of rectangle is expressed as:

A  = lw

  • l is the length
  • w is the width

Ar = (3x-1)(x+2)

Ar = 3x^2+6x-x-2

Ar = 3x^2 + 5x - 2

For the circle

Ac = πr²

Ac = 3.14(x-3)²

Ac = 3.14(x²-6x+9)

Ac = 3.14x² - 18.84x + 28.26

If the area are equal;

3x² + 5x - 2 = 3.14x² - 18.84x + 28.26

3.14x² - 3x² - 5x - 18.84x + 30.26 = 0
0.14x²-23.84x+30.26 = 0

On factorizing the equation, the approximate value of x will be approximately equal to 3.4

Learn more on area of rectangle here; brainly.com/question/25292087

6 0
3 years ago
What is the value of x in the simplest radical form?
White raven [17]

Answer:

2 ROUTE 113

Step-by-step explanation:

Pythagorean theorm.

Factor it out.

Simplify the radical.

5 0
3 years ago
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